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An uniform sphere is at rest and in equi...

An uniform sphere is at rest and in equilibrium with the help of two vertical strings of unequal length larger string has length `'2l'` and shorter has length `('7l')/(5)`. Both strings and centre of sphere are in one plane.

Radius of sphere is `l`. If ratio of fundamental frequancy in longer wire to shorter wire is `k` then `5sqrt(5k)` is (both strings are of same material)

Text Solution

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The correct Answer is:
7
An uniform………….

`T_(1)l=T_(2)((4l)/(5))`
`5T_(1)=4T_(2)`
`k = (f_(1))/(f_(2)) = sqrt((T_(1))/(T_(2))).(l_(2))/(l_(1))`
`= sqrt((4)/(5)).(7)/(10) = (7)/(5sqrt(5))`
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